Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 47  52 of 64
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Question number: 47
» Basic Mathematics » Geometry » Triangle and Properties
Question
The angle bisectors BM and CN of a triangle ABC are divided by the in centre I in the ratios 5: 3 and 3: 1 respectively. Then triangle is –
Choices
Choice (4)  Response  

a.  Isosceles 

b.  Equilateral 

c.  Scalene 

d.  All of the above 

Question number: 48
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If and , then MR: MP is –
Choices
Choice (4)  Response  

a. 


b.  1: 2 

c.  2: 1 

d. 


Question number: 49
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 50
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7, 11, 16 is –
Choices
Choice (4)  Response  

a.  64 

b.  36 

c.  77 

d.  44 

Question number: 51
» Basic Mathematics » Geometry » Circle and Properties
Question
The lengths of two parallel chords of a circle are 8 cm and 6 cm. If the smaller chord is at distance 4 cm from the centre, then the distance of the other chord from the centre is –
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  4 

d.  2 

Question number: 52
» Basic Mathematics » Geometry » Triangle and Properties
Question
The number of values of a for which there is an isosceles triangle with sides of length , and is –
Choices
Choice (4)  Response  

a.  1 

b.  0 

c.  2 

d.  3 
